Hello,

I have no previous experience posting on this forum, but as the course I am taking is entitled Analysis, I hope this is the correct forum.

I have been given an exercise by my teacher:

Imagine a clock where the hour hand and the minute hand

are indistinguishable from each other. Assuming the hands move continuously

around the face of the clock, and assuming their positions can be measured with

perfect accuracy, is it always possible to determine the time?

and I am not sure, what exactly it is I should do here to answere it correctly.

I have a notion though, that it might involve something like the intermediate value theorem, because if they hands move continously this theorem would apply and therefore it would be possible to always measure the time correctly? But I am not so sure what exactly to "mathematically" do.

Thanks in advance for any help